ptcruzer80 ptcruzer80
  • 23-09-2018
  • Mathematics
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F(a)=a2+3and g(a)=3a-1, which of the following is an expression for g(f(a)

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GoddessofDork
GoddessofDork GoddessofDork
  • 23-09-2018

So for this expression, you are plugging the value of f(a) into the a variable of g(a).

[tex]g(f(a))=3(a^2+3)-1[/tex]

Firstly, distribute 3 to (a^2 + 3):

[tex]g(f(a))=3a^2+9-1[/tex]

Next, combine like terms and your answer will be:

[tex]g(f(a))=3a^2+8[/tex]

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